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Finding the Third Proportional to 234,216 and 350,682

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Solution

The third proportional to 234,216 and 350,682 is: 525,061.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,216 : 350,682 = 350,682 : x
  2. Step 2: Convert to fraction form
    234,216/350,682 = 350,682/x
  3. Step 3: Cross multiply
    234,216x = 350,682 × 350,682
  4. Step 4: Simplify right side
    234,216x = 122,977,865,124
  5. Step 5: Solve for x
    x = 122,977,865,124/234,216
  6. Step 6: Final answer
    x = 525,061.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.